This is the finite Conformal Carrollian Algebra (f-CCA). The algebra can be obtained by the \(c\rightarrow 0\)  limit of the relativistic Conformal algebra.
It is important to note that this finite algebra can be rewritten in a suggestive form and be given an infinite dimensional lift for all spacetime dimensions [1]}. This infinite dimensional lift makes connection with the important fact that CCA is isomorphic to the BMS algebra in one higher dimension
\( \mathfrak {CCarr}_d = \mathfrak {bms}_{d+1}.\) 
